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Migration by finite differences
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Migration by finite differences
WAVE-EXTRAPOLATION EQUATIONS
Meet the parabolic wave equation
Muir square-root expansion
Dispersion relations
Depth-variable velocity
Retardation (frequency domain)
Lateral velocity variation
Two velocities
Splitting diffraction and lens terms
Time domain
Upcoming waves
FINITE DIFFERENCING
The lens equation
First derivatives, explicit method
First derivatives, implicit method
The explicit heat-flow equation
The leapfrog method
The Crank-Nicolson method
Solving tridiagonal simultaneous equations
The xxz derivative
Difficulty in higher dimensions
WAVEMOVIE PROGRAM
Earth's surface boundary condition
Time-domain analysis
Internals of the film-loop program
Side-boundary analysis
Including lateral velocity variation
Phase shift
MIGRATION IN THE (omega,x)-DOMAIN (KJ)
About this document ...
Stanford Exploration Project
10/31/1997